STABILITY OF A DYNAMIC MODEL OF TRAFFIC ASSIGNMENT - AN APPLICATION OF A METHOD OF LYAPUNOV

This paper considers a dynamic model of traffic assignment in which drivers change their route choices to take advantage of cheaper routes. Using a method due to Lyapunov, we show that if the cost-flow function is monotone and there are no explicit capacity restrictions then any solution trajectory of the dynamical system converges to the set of J.G. Wardrop equilibria as time passes.

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• Authors:
  • Smith, M J
• Publication Date: 1984-8

Media Info

• Features: References;
• Pagination: p. 245-252
• Serial:
  • Transportation Science
  • Volume: 18
  • Issue Number: 3
  • Publisher: Institute for Operations Research and the Management Sciences (INFORMS)
  • ISSN: 0041-1655
  • Serial URL: http://transci.journal.informs.org/

Subject/Index Terms

• TRT Terms: Choice models; Dynamics; Mathematical models; Route choice; Routes; Stability criteria; Traffic assignment; Transportation
• Uncontrolled Terms: Dynamic characteristics; Models
• Old TRIS Terms: Lyapunov methods; Route analysis; System stability
• Subject Areas: Operations and Traffic Management; Transportation (General); I71: Traffic Theory;

Filing Info

• Accession Number: 00391751
• Record Type: Publication
• Source Agency: Engineering Index
• Files: TRIS
• Created Date: Jan 30 1985 12:00AM